On a nonlinear integral equation arising in mathematical epidemiology

O. Diekmann

doi:10.1016/S0304-0208(08)70554-1

On a nonlinear integral equation arising in mathematical epidemiology

O. Diekmann^*

^*Corresponding author for this work

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Research output: Contribution to journal › Article › Academic › peer-review

Abstract

This chapter discusses the nonlinear integral equations arising in mathematical epidemiology. It discusses some qualitative aspects of the development of an epidemic in space and time. The mathematical problems encountered are mainly those of proving existence or nonexistence of solutions of nonlinear convolution equations. A survey is given of some of the earlier obtained results. The evolution of epidemic in the space-independent Kermack and McKendrick model is discussed. The Hair-Trigger effect is described. Some concepts of traveling waves are explained. Nonexistence of traveling waves with speed less than C₀ is also discussed in the chapter.

Original language	English
Pages (from-to)	133-140
Number of pages	8
Journal	North-Holland Mathematics Studies
Volume	31
Issue number	C
DOIs	https://doi.org/10.1016/S0304-0208(08)70554-1
Publication status	Published - 1 Jan 1978
Externally published	Yes

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10.1016/S0304-0208(08)70554-1

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On a nonlinear integral equation arising in mathematical epidemiology

Abstract

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